Dental Journal (Majalah Kedokteran Gigi)
Vol. 41 No. 4 (2008): December 2008

Bootstrap study to estimate linear regression parameter (Application in the study on the effect of oral hygiene on dental caries)

Ristya Widi Endah Yani (Department of Dental Public Health, Faculty of Dentistry, Universitas Jember)



Article Info

Publish Date
01 Dec 2008

Abstract

Background: Bootstrap is a computer simulation-based method that provides estimation accuracy in estimating inferential statistical parameters. Purpose: This article describes a research using secondary data (n = 30) aimed to elucidate bootstrap method as the estimator of linear regression test based on the computer programs MINITAB 13, SPSS 13, and MacroMINITAB. Methods: Bootstrap regression methods determine ˆ β and Yˆ value from OLS (ordinary least square), ε i = Yi −Yˆi value, determine how many repetition for bootstrap (B), take n sample by replacement from ε i to ε (i) , Yi = Yˆi + ε (i) value, ˆ β value from sample bootstrap at i vector. If the amount of repetition less than, B a recalculation should be back to take n sample by using replacement from ε i . Otherwise, determine ˆ β from “bootstrap” methods as the average ˆ β value from the result of B times sample taken. Result: The result has similar result compared to linear regression equation with OLS method (α = 5%). The resulting regression equation for caries was = 1.90 + 2.02 (OHI-S), indicating that every one increase of OHI-S unit will result in caries increase of 2.02 units. Conclusion: This was conducted with B as many as 10,500 with 10 times iterations.

Copyrights © 2008






Journal Info

Abbrev

MKG

Publisher

Subject

Dentistry

Description

The Dental Journal (Majalah Kedokteran Gigi) (e-ISSN:2442-9740; p-ISSN:1978-3728) is published by the Faculty of Dental Medicine, Universitas Airlangga. Its diciplinary focus is dental science and dental hygiene. The Dental Journal (Majalah Kedokteran Gigi) is published in English on a quarterly ...